Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Application of numerical methods for solving the non-Fourier heat conduction equations

2015/19/B/ST8/01101

Keywords:

numerical modeling microscale heat transfer phase transitions finite-difference method finite-volume method boundary element method

Descriptors:

  • ST8_3: Computational engineering, computer-aided modelling, design and manufacturing
  • ST8_4: Fluid mechanics, technical thermodynamics
  • ST8_13: Architectural acoustics

Panel:

ST8 - Production and processes engineering: modelling, product design, process design and control, construction methods and engineering, power units and systems

Host institution :

Politechnika Śląska, Wydział Mechaniczny Technologiczny

woj. śląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Ewa Majchrzak 

Number of co-investigators in the project: 4

Call: OPUS 10 - announced on 2015-09-15

Amount awarded: 278 200 PLN

Project start date (Y-m-d): 2016-06-28

Project end date (Y-m-d): 2019-10-27

Project duration:: 40 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. komputer przenośny (laptop) (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (23)
  • Articles in post-conference publications (6)
  • Book publications / chapters in book publications (1)
  1. Analytical solution of the dual phase lag equation describing the laser heating of thin metal film
    Authors:
    M. Ciesielski
    Academic press:
    Journal of Applied Mathematics and Computational Mechanics (rok: 2017, tom: 16(1), strony: 33-40), Wydawca: The Publishing Office of Czestochowa University of Technology
    Status:
    Published
    DOI:
    10.17512/jamcm.2017.1.03 - link to the publication
  2. Application of numerical methods for solving the non-Fourier equations, A review of our own and collaborators' works
    Authors:
    Ewa Majchrzak, Bohdan Mochnacki
    Academic press:
    Journal of Applied Mathematics and Computational Mechanics (rok: 2018, tom: 17(2), strony: 43-50), Wydawca: The Publishing Office of Czestochowa University of Technology
    Status:
    Published
    DOI:
    10.17512/jamcm.2018.2.04 - link to the publication
  3. Hyperbolic model of thermal interactions in a system biological tissue—protective clothing subjected to an external heat source
    Authors:
    Mariusz Ciesielski, Bohdan Mochnacki
    Academic press:
    Numerical Heat Transfer, Part A: Applications (rok: 2018, tom: 74(11), strony: 1685-1700), Wydawca: TAYLOR & FRANCIS INC
    Status:
    Published
    DOI:
    10.1080/10407782.2018.1541292 - link to the publication
  4. Identification of Laser Intensity Assuring the Destruction of Target Region of Biological Tissue Using the Gradient Method and Generalized Dual-Phase Lag Equation
    Authors:
    Ewa Majchrzak, Łukasz Turchan, Marek Jasiński
    Academic press:
    Iranian Journal of Science and Technology - Transactions of Mechanical Engineering (rok: 2019, tom: 43, strony: 539-548), Wydawca: Springer International Publishing
    Status:
    Published
    DOI:
    10.1007/s40997-018-0225-2 - link to the publication
  5. Implicit scheme of the finite difference method for 1D dual-phase lag equation
    Authors:
    E. Majchrzak, B. Mochnacki
    Academic press:
    Journal of Applied Mathematics and Computational Mechanics (rok: 2017, tom: 16(3), strony: 37-46), Wydawca: The Publishing Office of Czestochowa University of Technology
    Status:
    Published
    DOI:
    10.17512/jamcm.2017.3.04 - link to the publication
  6. Modeling of laser heating of bi-layered microdomain using the general boundary element method.
    Authors:
    E.Majchrzak, L.Turchan
    Academic press:
    Engineering Analysis with Boundary Elements (rok: 2019, tom: 108, strony: 438-446), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.enganabound.2019.09.005 - link to the publication
  7. Numerical model of thin metal film heating using the boundary element method
    Authors:
    E. Majchrzak, B. Mochnacki
    Academic press:
    Computer Methods in Materials Science (rok: 2017, tom: 17(1), strony: 45643), Wydawca: AKAPIT
    Status:
    Published
    DOI:
    brak - link to the publication
  8. Numerical simulation of thermal processes in a domain of thin metal film subjected to an ultrashort laser pulse
    Authors:
    Ewa Majchrzak, Bohdan Mochnacki
    Academic press:
    Materials (rok: 2018, tom: 11, strony: 45306), Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
    Status:
    Published
    DOI:
    10.3390/ma11112116 - link to the publication
  9. Sensitivity analysis of temperature field in the heated soft tissue with respect to the perturbations of porosity
    Authors:
    G. Kałuża, E. Majchrzak, Ł. Turchan
    Academic press:
    Applied Mathematical Modelling (rok: 2017, tom: 49, strony: 498-513), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apm.2017.05.011 - link to the publication
  10. Analysis of thermal processes occurring in the heated multilayered metal films using the dual-phase lag model
    Authors:
    E. Majchrzak, G. Kałuża
    Academic press:
    Archives of Mechanics (rok: 2017, tom: 69(4-5), strony: 275-287), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    brak - link to the publication
  11. Comparison of bio-heat transfer numerical models based on the Pennes and Cattaneo-Vernotte equations
    Authors:
    M. Ciesielski, M. Duda, B. Mochnacki
    Academic press:
    Journal of Applied Mathematics and Computational Mechanics (rok: 2016, tom: 15(4), strony: 33-38), Wydawca: The Publishing Office of Czestochowa University of Technology
    Status:
    Published
    DOI:
    10.17512/jamcm.2016.4.04 - link to the publication
  12. Modeling of laser-soft tissue interactions using the dual-phase lag equation: sensitivity analysis with respect to selected tissue parameters
    Authors:
    E. Majchrzak, M. Jasiński, Ł. Turchan
    Academic press:
    Defect and Diffusion Forum (rok: 2017, tom: 379, strony: 108-123), Wydawca: Trans Tech Publications
    Status:
    Published
    DOI:
    10.4028/www.scientific.net/DDF.379.108 - link to the publication
  13. Application of the alternating direction implicit method for numerical solution od the dual phase lag equation
    Authors:
    M. Ciesielski
    Academic press:
    Journal of Theoretical and Applied Mechanics (rok: 2017, tom: 55(3), strony: 839-852), Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Status:
    Published
    DOI:
    10.15632/jtam-pl.55.3.839 - link to the publication
  14. Second-order two-temperature model of heat transfer processes in a thin metal film subjected to an ultrashort laser pulse.
    Authors:
    Ewa Majchrzak,Jolanta Dziatkiewicz
    Academic press:
    Archives of Mechanics (rok: 2019, tom: 45387, strony: 377-391), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    10.24423/aom.3131 - link to the publication
  15. Analysis of thermal processes occuring in the microdomain subjected to the ultrashort laser pulse using the axisymmetric two-temperature model
    Authors:
    E. Majchrzak, J. Dziatkiewicz, Ł. Turchan
    Academic press:
    International Journal for Multiscale Computational Engineering (rok: 2017, tom: 15(5), strony: 395-411), Wydawca: Begell
    Status:
    Published
    DOI:
    10.1615/IntJMultCompEng.2017020480 - link to the publication
  16. Cattaneo-Vernotte bioheat transfer equation. Stability conditions of numerical algorithm based on the explicit scheme of the finite difference method
    Authors:
    B. Mochnacki, W. Tuzikiewicz
    Academic press:
    Journal of Applied Mathematics and Computational Mechanics (rok: 2016, tom: 15(4), strony: 137-144), Wydawca: The Publishing Office of Czestochowa University of Technology
    Status:
    Published
    DOI:
    10.17512/jamcm.2016.4.15 - link to the publication
  17. Dual phase lag model of melting process in domain of metal film subjected to an external heat flux
    Authors:
    B. Mochnacki, M. Ciesielski
    Academic press:
    Archives of Foundry Engineering (rok: 2016, tom: 16(4), strony: 85-90), Wydawca: Commission of Foundry Engineering,Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.1515/afe-2016-0089 - link to the publication
  18. Dual-phase lag equation. Stability conditions of a numerical algorithm based on the explicit scheme of the finite difference method
    Authors:
    E. Majchrzak, B. Mochnacki
    Academic press:
    Journal of Applied Mathematics and Computational Mechanics (rok: 2016, tom: 15, strony: 89-96), Wydawca: The Publishing Office of Czestochowa University of Technology
    Status:
    Published
    DOI:
    10.17512/jamcm.2016.3.09 - link to the publication
  19. Dual-phase lag model of thermal processes in a multi-layered microdomain subjected to a strong laser pulse using the implicit scheme of FDM
    Authors:
    Ewa Majchrzak, Bohdan Mochancki
    Academic press:
    International Journal of Thermal Sciences (rok: 2018, tom: 133, strony: 240-251), Wydawca: ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
    Status:
    Published
    DOI:
    10.1016/j.ijthermalsci.2018.07.030 - link to the publication
  20. Implicit scheme of the finite difference method for the second-order dual phase lag equation
    Authors:
    Ewa Majchrzak, Bohdan Mochnacki
    Academic press:
    Journal of Theoretical and Applied Mechanics (rok: 2018, tom: 56(2), strony: 393-402), Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Status:
    Published
    DOI:
    10.15632/jtam-pl.56.2.393 - link to the publication
  21. Numerical model of thermal interactions between cylindrical cryoprobe and biological tissue using the dual-phase lag equation
    Authors:
    B. Mochnacki, E. Majchrzak
    Academic press:
    International Journal of Heat and Mass Transfer (rok: 2017, tom: 108, strony: 45301), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ijheatmasstransfer.2016.11.103 - link to the publication
  22. Solving the dual-phase lag bioheat transfer equation by the generalized finite difference method
    Authors:
    Ł. Turchan
    Academic press:
    Archives of Mechanics (rok: 2017, tom: 69(4-5), strony: 389-407), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    brak - link to the publication
  23. Numerical solutions of the second-order dual-phase-lag equation using the explicit and implicit schemes of the finite difference method
    Authors:
    Ewa Majchrzak, Bohdan Mochnacki
    Academic press:
    International Journal of Numerical Methods for Heat & Fluid Flow (rok: 2019, ), Wydawca: Emerald Publishing
    Status:
    Accepted for publication
    DOI:
    10.1108/HFF-11-2018-0640 - link to the publication
  1. Estimation of boundary heat flux ensuring the destruction of selected biological tissue region using the generalized dual-phase lag model
    Authors:
    E. Majchrzak, Ł. Turchan
    Conference:
    3rd International Conference on Multiscale Computational Methods for Solids and Fluids (rok: 2017, ), Wydawca: University of Ljubljana, Faculty of Civil and Geodetic Engineering
    Data:
    konferencja 20-22.09.2017
    Status:
    Published
  2. Numerical solution of the dual phase lag equation using the control volume method and Crank-Nicolson scheme
    Authors:
    B. Mochnacki, M. Ciesielski
    Conference:
    3rd International Conference on Multiscale Computational Methods for Solids and Fluids (rok: 2017, ), Wydawca: University of Ljubljana, Faculty of Civil and Geodetic Engineering
    Data:
    konferencja 20-22.09.2017
    Status:
    Published
  3. First- and second-order dual phase lag equation. Numerical solution using the explicit and implicit schemes of the finite difference method
    Authors:
    Ewa Majchrzak, Bochdan Mochnacki
    Conference:
    XI International Conference on Computational Heat, Mass and Momentum Transfer (ICCHMT 2018) (rok: 2018, ), Wydawca: EDP Sciences
    Data:
    konferencja 21-24 maj
    Status:
    Published
  4. Numerical model of biological tissue heating using the models of bio-heat transfer with delays
    Authors:
    Ewa Majchrzak, Bohdan Mochnacki
    Conference:
    XII th International Conference on Computational Heat, Mass and Momentum Transfer (rok: 2019, ), Wydawca: E3S Web of Conferences 128,02002 (2019)
    Data:
    konferencja 03.09-06.09
    Status:
    Published
  5. Soft tissue freezing process. Identification of the dual phase lag model parameters using the evolutionary algorithms
    Authors:
    Bohdan Mochnacki, Ewa Majchrzak, Marek Paruch
    Conference:
    22nd International Conference on Computer Methods in Mechanics (CMM2017) (rok: 2017, ), Wydawca: AIP Publishing
    Data:
    konferencja 13-16 wrzesień
    Status:
    Published
  6. Identification of Neumann boundary condition assuring the destruction of target region of biological tissue
    Authors:
    Łukasz Turchan, Ewa Majchrzak
    Conference:
    International Conference on Computational Methods (ICCM) (rok: 2018, ), Wydawca: Scientech Publisher LLC
    Data:
    konferencja 6-10 sierpień
    Status:
    Published
  1. General Boundary Element Method for the Dual-Phase Lag Equations Describing the Heating of Two-Layered Thin Metal Films.
    Authors:
    Ewa Majchrzak
    Book:
    Advanced Structured Materials (rok: 2020, tom: 113, strony: 263-278), Wydawca: Springer
    Status:
    Published

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